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Finding the Third Proportional to 41,902.50 and 89,805

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Solution

The third proportional to 41,902.50 and 89,805 is: 192,469.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,902.50 : 89,805 = 89,805 : x
  2. Step 2: Convert to fraction form
    41,902.50/89,805 = 89,805/x
  3. Step 3: Cross multiply
    41,902.50x = 89,805 × 89,805
  4. Step 4: Simplify right side
    41,902.50x = 8,064,938,025
  5. Step 5: Solve for x
    x = 8,064,938,025/41,902.50
  6. Step 6: Final answer
    x = 192,469.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.